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Finding the Fourth Proportional to 7,483.34, 11,226.27 and 2,288

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Solution

The fourth proportional to 7,483.34, 11,226.27 and 2,288 is: 3,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.34 : 11,226.27 = 2,288 : x
  2. Step 2: Convert to fraction form
    7,483.34/11,226.27 = 2,288/x
  3. Step 3: Cross multiply
    7,483.34x = 11,226.27 × 2,288
  4. Step 4: Simplify right side
    7,483.34x = 25,685,705.76
  5. Step 5: Solve for x
    x = 25,685,705.76/7,483.34
  6. Step 6: Final answer
    x = 3,432.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.